40968498336480
40,968,498,336,480 is an even composite number composed of six prime numbers multiplied together.
What does the number 40968498336480 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1944 divisors.
40968498336480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 40968498336480:
25 × 35 × 5 × 112 × 132 × 2272
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 13 × 13 × 227 × 227)See below for interesting mathematical facts about the number 40968498336480 from the Numbermatics database.
Names of 40968498336480
- Cardinal: 40968498336480 can be written as Forty trillion, nine hundred sixty-eight billion, four hundred ninety-eight million, three hundred thirty-six thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.096849833648 × 1013
Factors of 40968498336480
Divisors of 40968498336480
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 32 33 36 39 40 44 45 48 52 54 55 60 65 66 72 78 80 81 88 90 96 99 104 108 110 117 120 121 130 132 135 143 144 156 160 162 165 169 176 180 195 198 208 216 220 227 234 240 242 243 260 264 270 286 288 297 312 324 330 338 351 352 360 363 390 396 405 416 429 432 440 454 468 480 484 486 495 507 520 528 540 572 585 594 605 624 648 660 676 681 702 715 720 726 780 792 810 845 858 864 880 891 908 936 968 972 990 1014 1040 1053 1056 1080 1089 1135 1144 1170 1188 1210 1215 1248 1287 1296 1320 1352 1362 1404 1430 1440 1452 1485 1521 1560 1573 1584 1620 1690 1716 1755 1760 1782 1815 1816 1859 1872 1936 1944 1980 2028 2043 2080 2106 2145 2160 2178 2270 2288 2340 2376 2420 2430 2497 2535 2574 2592 2640 2673 2704 2724 2808 2860 2904 2951 2970 3042 3120 3146 3159 3168 3240 3267 3380 3405 3432 3510 3564 3630 3632 3718 3744 3861 3872 3888 3960 4056 4086 4212 4290 4320 4356 4455 4540 4563 4576 4680 4719 4752 4840 4860 4994 5070 5148 5265 5280 5346 5408 5445 5448 5577 5616 5720 5808 5902 5940 6084 6129 6240 6292 6318 6435 6480 6534 6760 6810 6864 7020 7128 7260 7264 7436 7491 7605 7722 7776 7865 7920 8112 8172 8424 8580 8712 8853 8910 9080 9126 9295 9360 9438 9504 9680 9720 9801 9988 10140 10215 10296 10530 10692 10890 10896 11154 11232 11440 11583 11616 11804 11880 12168 12258 12485 12584 12636 12870 12960 13068 13365 13520 13620 13689 13728 14040 14157 14256 14520 14755 14872 14982 15210 15444 15730 15795 15840 16224 16335 16344 16731 16848 17160 17424 17706 17820 18160 18252 18387 18590 18720 18876 19305 19360 19440 19602 19976 20280 20430 20449 20592 21060 21384 21780 21792 22308 22473 22815 22880 23166 23595 23608 23760 24336 24516 24970 25168 25272 25740 26136 26559 26730 27040 27240 27378 27467 27885 28080 28314 28512 29040 29403 29510 29744 29964 30420 30645 30888 31460 31590 32461 32670 32688 33462 33696 34320 34749 34848 35412 35640 36320 36504 36774 37180 37455 37752 38363 38610 38880 39204 39952 40560 40860 40898 41067 41184 42120 42471 42768 43560 44265 44616 44946 45630 46332 47190 47216 47520 48672 49005 49032 49940 50193 50336 50544 51480 51529 52272 53118 53460 54480 54756 54934 55161 55770 56160 56628 57915 58080 58806 59020 59488 59928 60840 61290 61347 61776 62920 63180 64922 65340 65376 66924 67419 68445 68640 69498 70785 70824 71280 73008 73548 74360 74910 75504 76726 77220 78408 79677 79904 81120 81720 81796 82134 82401 83655 84240 84942 85536 87120 88530 89232 89892 91260 91935 92664 94380 94432 97383 98010 98064 99880 100386 101088 102245 102960 103058 104544 106236 106920 108960 109512 109868 110322 111540 112365 113256 115089 115830 117612 118040 119856 121680 122580 122694 123552 125840 126360 127413 129844 130680 132795 133848 134838 136890 137335 138996 141570 141648 142560 146016 147015 147096 148720 149820 150579 151008 153452 154440 154587 156816 159354 162305 163440 163592 164268 164802 167310 168480 169884 173745 174240 177060 178464 179784 182520 183870 184041 185328 188760 191815 194766 196020 196128 199760 200772 202257 204490 205335 205920 206116 212355 212472 213840 219024 219736 220644 223080 224730 226512 230178 231660 235224 236080 239031 239712 243360 245160 245388 247203 250965 251680 252720 254826 257645 259688 261360 265590 267696 269676 273780 274670 275805 277992 283140 283296 292149 294030 294192 297440 299640 301158 306735 306904 308880 309174 313632 318708 324610 326880 327184 328536 329604 334620 337095 339768 345267 347490 354120 357071 359568 365040 367740 368082 370656 377520 382239 383630 389532 392040 398385 399520 401544 404514 408980 410670 412005 412232 421993 424710 424944 427680 438048 439472 441288 446160 449460 451737 453024 460356 463320 463761 470448 472160 478062 486915 490320 490776 494406 501930 505440 509652 515290 519376 522720 531180 535392 539352 547560 549340 551610 552123 555984 566280 566819 575445 584298 588060 588384 599280 602316 606771 613470 613808 617760 618348 637065 637416 649220 654368 657072 659208 669240 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107180320 108520074 110529705 111302640 111406152 112230162 113938110 114734880 115691004 117898352 118657440 120577860 121533984 122432904 124296120 124700180 125215470 125331921 126208368 128545560 130626015 132509520 132635646 133489620 133563168 136036560 136725732 137737017 139257690 139334416 140231520 144613755 144693432 147372940 148541536 149155344 149640216 151917480 153041130 154254672 156751218 157760460 159011424 160770480 162110234 162780111 163243872 165728160 166953960 167109228 168345243 170907165 171394080 173536506 174168020 176847528 177986160 180866790 182300976 183649356 185676920 186444180 187050270 191584822 192818340 192924576 198764280 198953469 199520288 200344752 202556640 204054840 205088598 208886535 209001624 210347280 213583392 217040148 221059410 222605280 222812304 224460324 227876220 229561695 231382008 235126827 235796704 241155720 243165351 244865808 248592240 249400360 250430940 250663842 252416736 257091120 261252030 265019040 265271292 266979240 271300185 272073120 273451464 275474034 278515380 278668832 280575405 287377233 289227510 289386864 294745880 298310688 299280432 303834960 306082260 308509344 313502436 315520920 321540960 324220468 325560222 331589115 333907920 334218456 336690486 341814330 347073012 348336040 353695056 355972320 361733580 364601952 367298712 371353840 372888360 374100540 375995763 383169644 385636680 391878045 397528560 397906938 400689504 405275585 408109680 410177196 417773070 418003248 420694560 433841265 434080296 442118820 445624608 448920648 455752440 459123390 462764016 470253654 478962055 482311440 486330702 489731616 497184480 498800720 500861880 501327684 505035729 512721495 514182240 522504060 530542584 533958480 542600370 546902928 550948068 557030760 561150810 574754466 578455020 578773728 589491760 596860407 598560864 607669920 612164520 626659605 627004872 631041840 648440936 651120444 663178230 667815840 668436912 673380972 683628660 688685085 694146024 696672080 705380481 707390112 723467160 729496053 734597424 742707680 745776720 748201080 751991526 766339288 771273360 783756090 795057120 795813876 810551170 813900555 816219360 820354392 835546140 836006496 841726215 862131699 867682530 868160592 884237640 897841296 911504880 918246780 925528032 940507308 957924110 964622880 972661404 994767345 997601440 1001723760 1002655368 1010071458 1025442990 1045008120 1053716521 1061085168 1067916960 1085200740 1093805856 1101896136 1114061520 1122301620 1127987289 1149508932 1156910040 1175634135 1178983520 1193720814 1215826755 1224329040 1253319210 1254009744 1262083680 1296881872 1302240888 1326356460 1336873824 1346761944 1367257320 1377370170 1388292048 1393344160 1410760962 1436886165 1446934320 1458992106 1469194848 1491553440 1496402160 1503983052 1515107187 1532678576 1542546720 1567512180 1591627752 1621102340 1627801110 1640708784 1671092280 1683452430 1724263398 1735365060 1736321184 1768475280 1790581221 1795682592 1823009760 1836493560 1879978815 1881014616 1915848220 1945322808 1989534690 2003447520 2005310736 2020142916 2050885980 2090016240 2107433042 2116141443 2122170336 2170401480 2188488159 2203792272 2228123040 2244603240 2255974578 2299017864 2313820080 2351268270 2387441628 2431653510 2448658080 2506638420 2508019488 2525178645 2586395097 2593763744 2604481776 2652712920 2693523888 2734514640 2754740340 2776584096 2821521924 2873772330 2893868640 2917984212 2984302035 2992804320 3007966104 3030214374 3065357152 3135024360 3161149563 3183255504 3242204680 3255602220 3281417568 3342184560 3366904860 3448526796 3470730120 3526902405 3536950560 3581162442 3647480265 3672987120 3759957630 3762029232 3831696440 3890645616 3979069380 4010621472 4040285832 4101771960 4180032480 4214866084 4232282886 4310658495 4340802960 4376976318 4407584544 4489206480 4511949156 4598035728 4627640160 4702536540 4774883256 4863307020 5013276840 5050357290 5172790194 5208963552 5268582605 5305425840 5387047776 5469029280 5509480680 5639936445 5643043848 5747544660 5835968424 5968604070 6015932208 6060428748 6270048720 6322299126 6366511008 6484409360 6511204440 6565464477 6684369120 6733809720 6897053592 6941460240 7053804810 7162324884 7294960530 7345974240 7519915260 7524058464 7575535935 7663392880 7759185291 7781291232 7958138760 8080571664 8203543920 8429732168 8464565772 8621316990 8681605920 8753952636 8952906105 8978412960 9023898312 9196071456 9405073080 9483448689 9549766512 9726614040 10026553680 10100714580 10345580388 10537165210 10580707215 10610851680 10942440795 11018961360 11279872890 11286087696 11495089320 11671936848 11937208140 12031864416 12120857496 12540097440 12644598252 12931975485 12968818720 13022408880 13130928954 13467619440 13794107184 13882920480 14107609620 14324649768 14589921060 15039830520 15151071870 15326785760 15518370582 15805747815 15916277520 16161143328 16407087840 16859464336 16929131544 17242633980 17507905272 17905812210 18047796624 18810146160 18966897378 19099533024 19453228080 19696393431 20053107360 20201429160 20691160776 21074330420 21161414430 21884881590 22037922720 22559745780 22572175392 22990178640 23277555873 23343873696 23874416280 24241714992 25289196504 25863950970 26044817760 26261857908 26935238880 27588214368 28215219240 28450346067 28649299536 29179842120 30079661040 30302143740 31036741164 31611495630 31832555040 32827322385 33718928672 33858263088 34485267960 35015810544 35811624420 36095593248 37620292320 37933794756 38795926455 38906456160 39392786862 40402858320 41382321552 42148660840 42322828860 43769763180 45119491560 45980357280 46555111746 47417243445 47748832560 48483429984 50578393008 51727901940 52523715816 56430438480 56900692134 57298599072 58359684240 60159322080 60604287480 62073482328 63222991260 65654644770 67716526176 68970535920 70031621088 71623248840 75867589512 77591852910 78785573724 80805716640 82764643104 84297321680 84645657720 85351038201 87539526360 90238983120 93110223492 94834486890 95497665120 98481967155 101156786016 103455803880 105047431632 112860876960 113801384268 116387779365 116719368480 121208574960 124146964656 126445982520 131309289540 137941071840 142251730335 143246497680 151735179024 155183705820 157571147448 168594643360 169291315440 170702076402 175079052720 180477966240 186220446984 189668973780 196963934310 206911607760 210094863264 227602768536 232775558730 242417149920 248293929312 252891965040 256053114603 262618579080 284503460670 286492995360 303470358048 310367411640 315142294896 338582630880 341404152804 350158105440 372440893968 379337947560 393927868620 413823215520 426755191005 455205537072 465551117460 505783930080 512106229206 525237158160 569006921340 620734823280 630284589792 682808305608 744881787936 758675895120 787855737240 853510382010 910411074144 931102234920 1024212458412 1050474316320 1138013842680 1241469646560 1280265573015 1365616611216 1517351790240 1575711474480 1707020764020 1862204469840 2048424916824 2276027685360 2560531146030 2731233222432 3151422948960 3414041528040 3724408939680 4096849833648 4552055370720 5121062292060 6828083056080 8193699667296 10242124584120 13656166112160 20484249168240 40968498336480
- Sum of all divisors σ(n): 173326516815816
- Sum of proper divisors (its aliquot sum) s(n): 132358018479336
- 40968498336480 is an abundant number, because the sum of its proper divisors (132358018479336) is greater than itself. Its abundance is 91389520142856
Bases of 40968498336480
- Binary: 10010101000010101110001100101001010010111000002
- Hexadecimal: 0x2542B8CA52E0
- Base-36: EISO24U00
Squares and roots of 40968498336480
- 40968498336480 squared (409684983364802) is 1678417855946164527298790400
- 40968498336480 cubed (409684983364803) is 68762259139248769713076880050316193792000
-
The
square root of 40968498336480 is 6400663.8981030709 -
The
cube root of 40968498336480 is 34473.3388744703
Scales and comparisons
How big is 40968498336480?- 40,968,498,336,480 seconds is equal to 1,302,671 years, 27 weeks, 1 day, 10 hours, 48 minutes.
-
To count from 1 to 40,968,498,336,480 would take you about three million, two hundred fifty-six thousand, six hundred seventy-eight years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 40968498336480 cubic inches would be around 2872.8 feet tall.
Recreational maths with 40968498336480
- 40968498336480 backwards is 08463389486904
- 40968498336480 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 40968498336480's digits is 72
- More coming soon!
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"Number 40968498336480 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 40968498336480 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/40968498336480/
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The information we have on file for 40968498336480 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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